11257245972 has 96 divisors (see below), whose sum is σ = 33379808000. Its totient is φ = 3213945216.

The previous prime is 11257245911. The next prime is 11257245973. The reversal of 11257245972 is 27954275211.

11257245972 is a `hidden beast` number, since 1 + 1 + 2 + 57 + 2 + 4 + 597 + 2 = 666.

It is a super-2 number, since 2×11257245972² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11257245973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1166238 + ... + 1175850.

Almost surely, 2^11257245972 is an apocalyptic number.

11257245972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11257245972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16689904000).

11257245972 is an abundant number, since it is smaller than the sum of its proper divisors (22122562028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11257245972 is a wasteful number, since it uses less digits than its factorization.

11257245972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11182 (or 11174 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The spelling of 11257245972 in words is "eleven billion, two hundred fifty-seven million, two hundred forty-five thousand, nine hundred seventy-two".